. Show that d(w) cos(Kt). = π[d(w − K) + d(w + K)] is the Fourier transform of -

Q: 3. Let R be the region lying outside r = 1 and inside r = 1 + cos 0. (i) Sketch the graph of the…

A: The area that is enclosed by a polar curve represented by r=fθ with θ∈a,b is formulated by the…

Q: find the equation of the plane through P(1, 3, 2) that is parallel to the plane 5x - 4y + 3z = 7

A:

Q: Example 10.16. Using Runge-Kutta method of fourth order, solve y(0) = 1 at x = 0.2, 0.4. y² + x²…

A:

Q: Lemma*: If z(x, y) = W+H, then xZx + y2y = (xWx+yWy) + (xHx + yHy).

A: Solution:

Q: Example 10.3. Solve y'= x + y, y(0) = 1 by Taylor's series method. Hence find the values of y at x =…

A:

Q: 9.W.1 The Gram matrix of an inner product on R2 with respect to the standard basis is G = 1 2 -1…

A:

Q: Q2: Use the shell method to find the volumes of the solids generated by revolving the regions about…

A:

Q: c-4546-4311-8422-60296621821 ny values in the data set are between 5.5 and 7.5?

A: In given histogram Values 5.5 to 6.5 Frequency is 3 And values 6.5 to 7.5 Frequency is 3

Q: ▪ Solve the following SLEs in a clean sheet of paper (preferably bond paper). ▪ Show a complete,…

A: Solution

Q: s these functions O(x) ? f(x) = 10 f(x)= 5 logx f(x)= x2+x+1

A: The big O notation is very significant in analyzing a function. It represents the efficiency of a…

Q: H.W p.564/ use Trapezoidal method and Simpsons' rule to evaluate. dx 1) So √1+x² n = 4 se as Ars

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Solve for the laplace transform. Show your solution.

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: 2 Example 10.8. Using Euler's method, find an approximate value of y corresponding to x= 1, given…

A:

Q: Which is Larger? 2015/2015! OR 2016/2016!

A: We need to identify , which of the following number is larger. 2015 !2015    or  2016 !2016 This can…

Q: 4. Being careful to allow for parts of the curve being both above and below the x-axis, determine…

A:

Q: The graph of an exponential function is shown in the figure below. The horizontal asymptote is shown…

A:

Q: 1. Let P (x) be the statement "x = x²." If the domain consists of the integers, give True/False…

A: We have given a statement ,  P(x) : x = x2 Here , domain consists of the integers , that is x ∈ ℤ.…

Q: Determine the Laplace Transform of sin³3t

A:

Q: | Example 11.4. Solve the Laplace equation ux + y = 0 given that xx 0 11.1 17 19.7 18.6 0 21.9 0 21…

A:

Q: Example 10.20. Using Milne's method find y(4.4) given 5xy + y²-2=0 given y(4) = 1, y(4.1) = 1.0049,…

A: Solution : Given, 5xy'+y2-2=0 ⇒y'=2-y25x Table of x and y x 4 4.1 4.2 4.3 y 1 1.0049 1.0097…

Q: Q1/ If you have the following data: Sin 45° = 0.7071, Sin 50° = 0.7660, Sin 55° = 0.8192, Sin 60° =…

A:

Q: Solve the following system of nonlinear equations 2x₁x₂20 x₁² - 4x₂ - 4 = 0 Using the fixed-point…

A:

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)² = 2y, the…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region nded by the…

A:

Q: Obtain the differential equation associated with the given non-derivative equation in x and y. Show…

A:

Q: Example 12.6. A company manufactures two types of cloth, using three different colours of wool. One…

A: Let type A cloth variable is x, let type B cloth variable is y, Maximize Z=5x + 3y  (profit) using…

Q: The inverse Laplace transform of 7s s² + 36 where A and b are constants. Determine A and b. is A…

A:

Q: Let p and q be the propositions: p: The election is decided q: The votes have been counted Express…

A: P: the election is decided q: The votes have been counted p↔q represents if and only if

Q: Considering four subintervals, determine the value of integral of f(x) = from 0 to 1 using…

A:

Q: Example 10.19. Apply Milne's method, to find a solution of the differential equation y=x-y² in the…

A: please comment if you need any clarification. If you find my answer useful please put thumbs. Thank…

Q: There are three numbers in geometric progression whose sum is 26. If the first is increased by 2,…

A: The arithmetic and geometric progressions are two important rule that terms of a sequence follow to…

Q: Consider the differential equation dy = ay - b. dt Find the equilibrium solution ye(t). Ye(t) = |

A:

Q: Solve the following system of nonlinear equations 2x₁x₂2=0 x₁² - 4x₂ -4 = 0 Using the fixed-point…

A:

Q: 2Using the spherical coordinate, find the volume of portion of the sphere Jutub x² + y² +²=9 lying…

A:

Q: Л Define R as the region that is bounded by the graph of the function f(x) = -3√3 sin (x), the…

A: To find the volume of the solid that is obtained by revolving the region bounded by below curves…

Q: The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x about y=4 is to…

A: Option (A) is correct.

Q: Suppose we want to choose 6 colors, without replacement, from 13 distinct colors. (a) If the order…

A:

Q: The following data set of values of a function f is given X 3 4 f(x) 27 64 a. What is the forward…

A: We will use values given in table to find all approximation

Q: Find the Fourier Cosine transform of e-t² Hint: Use the integral formula √π So e-u² du = 2

A:

Q: Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the fifth…

A: we need to solve this problem using picard's method.

Q: | Example 10.34. Solve the equation y" = x +y with the boundary conditions y(0) = y(1) = 0.

A:

Q: Example 11.1. Classify the following equations : au a²u d²u du (i) +4 0x2 +4 Əxdy 2 ông Ôx ди +2- =…

A: Given the second order partial derivatives; ∂2u∂x2+4∂2u∂x∂y+4∂2u∂y2-∂u∂x+2∂u∂y=0…

Q: Find the norm of a and the unit vector u in the direction of if 1 3 x = ||*|| = 13 = = 81 -4 Y ♡

A:

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)² = 2y, the…

A:

Q: IfF is a field of charact f(x) = x²*

A:

Q: Example 12.8. A firm uses milling machines, grinding machines and lathes to pro- duce two motor…

A: Solution: Let us take x to be the number of parts 1 to be manufactured and y to be the number of…

Q: A = {{]-[~-3²2)} and A²={_-¹,1],[9]}. If B=[82] is the matrix representation of linear operator Z:…

A: Given that A = 11 , -23 and A' = 1-1 , 01. Also given that B = 3204 is the matrix representation of…

Q: Example 10.15. Apply Runge-Kutta fourth order method to find an approximate value of y when x = 0.2…

A:

Q: 2. Solve the ODE using Separation of Variables. dy dx 5x²+4 y+1

A:

Q: The region E between the paraboloid z = 1 - 2² - y² and the plane z = 0 is shown in the 3D model…

A: We will use cylindrical co ordinate system to find volume